Basics of Polynomials

1
Basics of Polynomials

• Algebra 1
• Ms. Jones

2
Questions of Focus

• What are the terms?
• What are the coefficients?
• What is the degree?
• What is the type?

3
What are the terms?
What are the terms of 8y3-x2y56
8y3, -x2y5, 6
The terms are separated by a plus/minus sign and
can contain coefficients variables.
4
What are the coefficients?
What are the coefficients of the following
8y3-x2y56
8, -1, 6
The coefficients of a term is the numeric value
that comes before the variable.
5
What is the degree?
What is the degree of the first term in our
example 8y3?
The degree of that term is 3 because 8y3 contains
3 factors of y.
The degree of any given term is the total number
of variable factors in that term.
6
What is the type?

• There are 4 types of polynomials
• Monomial (one term) 8y3
• Binomial (two terms) 8y3-7
• Trinomial (three terms) 8y3y2-7
• Polynomial any polynomial with more than 3
  terms 8y3y2-y-7

7
Putting it all together
4x3-x2y6
- Monomial? Binomial? Trinomial? Polynomial?
- What are the terms?
- What are the coefficients?
- What is the degree of each term?